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Finding the Fourth Proportional to 6,978.72, 9,619.44 and 5,294.64

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Solution

The fourth proportional to 6,978.72, 9,619.44 and 5,294.64 is: 7,298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.72 : 9,619.44 = 5,294.64 : x
  2. Step 2: Convert to fraction form
    6,978.72/9,619.44 = 5,294.64/x
  3. Step 3: Cross multiply
    6,978.72x = 9,619.44 × 5,294.64
  4. Step 4: Simplify right side
    6,978.72x = 50,931,471.80
  5. Step 5: Solve for x
    x = 50,931,471.80/6,978.72
  6. Step 6: Final answer
    x = 7,298.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.